Yes, it is possible. As you get older, past the 50 mark, you may want to reassess what your body can handle. Your risk of all sorts of issues such as high blood pressure and high blood sugar begin to go up, mainly because of a bad diet, and poor lifestyle habits such as smoking and excessive use of alcohol.
Keep exercising, but cut back a little on very vigorous workouts in the gym, and if you are between 50 and 60, take care not to indulge in an unusually vigorous sexual encounter.